Solve 6/7 divided 36/56 and put answer in simplest form A.8/6
B.2/8
C.6/8
D.4/3

Answers

Answer 1

Answer:

Answer:

Solve $(6)/(7)$ divided $(36)/(56)$ and put answer in simplest form

D. $(4)/(3)$

Step-by-step explanation:

The easily technique for dividing fractions is invert one of the fraction and multiply the fractions. Numerator should be multiplied by the other numerator and denominator should be multiplied by the other denominator after invert one of the fraction.

$(6)/(7)$ ÷ $(36)/(56)=(6)/(7)*(56)/(36)$

$(6)/(7) * (56)/(36)=(336)/(252)$

Now, we need to simplify the fraction. The numerator and the denominator are divisible between two,

Therefore:

$(336)/(252)=(168)/(126)$

The numerator and the denominator are divisible between two,

Therefore:

$(168)/(126)=(84)/(63)$

The numerator and the denominator are divisible between 3,

Therefore:

$(84)/(63)=(28)/(21)$

The numerator and the denominator are divisible between 7,

Therefore:

$(28)/(21)=(4)/(3)$

Now, we have found the answer:

D. $(4)/(3)$

Answer 2

Answer:

The simplified form of the expression 6/7 divided 36/56 is 4/3.

Option D.4/3

What is the simplified form of the expression?

Given the expression in the question:

6/7 divided 36/56

Which is the same as:

6/7 ÷ 36/56

To solve the division problem (6/7) ÷ (36/56), multiply the first fraction by the reciprocal of the second fraction:

Hence:

6/7 ÷ 36/56

6/7 × 56/36

Multiply the denominators and then multiply the numerators:

( 6 × 56 ) / ( 7 × 36 )

Simplifying, we get:

336/ ( 7 × 36 )

336 / 252

Simplify:

4/3

Therefore, the simplified form is 4/3.

Option D) 4/3 is the correct answer.

Learn about how to divide fractions here: brainly.com/question/1627825

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What is the lcd for the factor 1/3 and 2/9?

Answers

The LCD is 9 for the factor 1/3 and 2/9.

You are going to mix a gallon bucket of window cleaner. The

You are going to mix a gallon bucket of window cleaner. The instructions

direct you to mix 1 part cleaner to 3 parts water. How much cleaning
solution will you need to use?*

Answers

x-amount of cleaning soulution
1Gal=x+3x
1Gal=4x
x=1/4 Gal

The amount of solution needed will be 0.25 Gal.
Hope it helped!

A car rental charges $175 per week plus $0.10 per mile to rent a car. How many miles can you travel in one week for $195?(NEED ANSWER ASAP+ EXPLANATION)

Answers

Answer:

200 miles

Step-by-step explanation:

To solve this problem, we can set up an equation to represent the total cost of renting the car.

Total cost = Weekly fee + Mileage fee

The weekly fee is $175, and the mileage fee is $0.10 per mile.

Let distance be x.

We want to know how many miles we can travel in one week for $195, so we can set up the equation as follows:

195 = 175 + 0.10x

Subtracting 175 from both sides of the equation, we get:

195 - 175 = 175 + 0.10x - 175

20 = 0.10x

Dividing both sides of the equation by 0.10, we get:

$\sf (20)/(0.10) = (0.10x)/(0.10)$

x = 200

Therefore, we can travel 200 miles in one week for $195.

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

Answers

The correct answer is this one: "C) 52 in3."

Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5

Answer:

Step-by-step explanation:

The height, width, and length of the box will be (x)(8 - 2x)(10 - 2x). The volume of the box will be 4x3 - 36x2 + 80x = 0 Use a graphing calculator to graph the polynomial. Use the maximum feature to see the greatest volume the box can have. Be sure to set your window accordingly and think about what constraints are on the box. The maximum volume for the box is 52 in3. The cut would be 1.5 inches long. This is where the graph crosses the x-axis.

Use the difference of cubes for 27x^(3)-1

Answers

Note:

$(a-b)^3=a^3-3a^2b+3ab^2-b^3\n\mathrm{or,\ }(a-b)^3=a^3-b^3-3ab(a-b)\n\mathrm{or,\ }a^3-b^3=(a-b)^3+3ab(a-b)\n\mathrm{or,\ }a^3-b^3=(a-b)[(a-b)^2+3ab]\n\mathrm{or,\ }a^3-b^3=(a-b)(a^2-2ab+b^2+3ab)\n\therefore\ a^3-b^3=(a-b)(a^2+ab+b^2)$

Answer:

$27x^3-1\n=(3x)^2-1\n=(3x-1)[(3x)^2+(3x)(1)+1^2]\n=(3x-1)(9x^2+3x+1)$

Answer:

To factor the expression 27x^3 - 1 using the difference of cubes formula, we can follow these steps:

1. Identify the cube root of each term. In this case, the cube root of 27x^3 is 3x, and the cube root of 1 is 1.

2. Write the formula for the difference of cubes, which is: a^3 - b^3 = (a - b)(a^2 + ab + b^2).

3. Replace "a" with 3x and "b" with 1 in the formula.

(3x)^3 - 1^3 = (3x - 1)((3x)^2 + (3x)(1) + 1^2)

4. Simplify the expression inside the parentheses.

(3x - 1)(9x^2 + 3x + 1)

Therefore, using the difference of cubes formula, we can factor 27x^3 - 1 as (3x - 1)(9x^2 + 3x + 1).

Step-by-step explanation:

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